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1101220022331 = 331113617462263
BaseRepresentation
bin10000000001100101110…
…101000000100000111011
310220021102220202022202000
4100001211311000200323
5121020244311203311
62201520554512043
7142363154513652
oct20014565004073
93807386668660
101101220022331
1139502aaa2910
12159510435623
137cac9790090
143b42952a199
151d9a2b44056
hex10065d4083b

1101220022331 has 64 divisors (see below), whose sum is σ = 1919763901440. Its totient is φ = 615067326720.

The previous prime is 1101220022299. The next prime is 1101220022333. The reversal of 1101220022331 is 1332200221011.

1101220022331 is a `hidden beast` number, since 110 + 1 + 2 + 200 + 22 + 331 = 666.

It is not a de Polignac number, because 1101220022331 - 25 = 1101220022299 is a prime.

It is a super-2 number, since 2×11012200223312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101220022333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2151106 + ... + 2613368.

It is an arithmetic number, because the mean of its divisors is an integer number (29996310960).

Almost surely, 21101220022331 is an apocalyptic number.

1101220022331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101220022331 is a deficient number, since it is larger than the sum of its proper divisors (818543879109).

1101220022331 is a wasteful number, since it uses less digits than its factorization.

1101220022331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462913 (or 462907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1101220022331 its reverse (1332200221011), we get a palindrome (2433420243342).

The spelling of 1101220022331 in words is "one trillion, one hundred one billion, two hundred twenty million, twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 617 1287 1851 3861 5553 6787 8021 16659 20361 24063 61083 72189 88231 183249 216567 264693 462263 794079 1386789 2382237 4160367 5084893 6009419 12481101 15254679 18028257 45764037 54084771 66103609 137292111 162254313 198310827 285216271 594932481 855648813 1784797443 2566946439 3137378981 3707811523 7700839317 9412136943 11123434569 28236410829 33370303707 40785926753 84709232487 100110911121 122357780259 367073340777 1101220022331